100105500502309 has 16 divisors (see below), whose sum is σ = 106017279299136. Its totient is φ = 94196303827200.

The previous prime is 100105500502261. The next prime is 100105500502327. The reversal of 100105500502309 is 903205005501001.

It is a cyclic number.

It is not a de Polignac number, because 100105500502309 - 2³⁵ = 100071140763941 is a prime.

It is a super-2 number, since 2×100105500502309² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105500542309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3201618694 + ... + 3201649960.

It is an arithmetic number, because the mean of its divisors is an integer number (6626079956196).

Almost surely, 2^{100105500502309} is an apocalyptic number.

It is an amenable number.

100105500502309 is a deficient number, since it is larger than the sum of its proper divisors (5911778796827).

100105500502309 is a wasteful number, since it uses less digits than its factorization.

100105500502309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66516.

The product of its (nonzero) digits is 6750, while the sum is 31.

The spelling of 100105500502309 in words is "one hundred trillion, one hundred five billion, five hundred million, five hundred two thousand, three hundred nine".